%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEV556+1 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:58:19 PM UTC 2026
% Result : Theorem 6.61s 2.51s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 61
% Syntax : Number of formulae : 436 ( 105 unt; 50 def)
% Number of atoms : 935 ( 149 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 856 ( 357 ~; 438 |; 21 &)
% ( 36 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 30 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 22 con; 0-2 aty)
% Number of variables : 176 ( 0 sgn 171 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X0)
=> mem(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subq_def) ).
fof(f2,axiom,
! [X0,X1] :
( subq(X0,X1)
=> ( subq(X1,X0)
=> X0 = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',setext) ).
fof(f3,axiom,
! [X0,X1] :
( disj(X0,X1)
<=> ~ ? [X2] :
( mem(X2,X0)
& mem(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disj_def) ).
fof(f4,axiom,
! [X0] : ~ mem(X0,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_ax) ).
fof(f5,axiom,
! [X0,X1] :
( mem(X0,s(X1))
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s_ax) ).
fof(f6,axiom,
! [X0,X1,X2] :
( mem(X0,u(X1,X2))
<=> ( mem(X0,X1)
| mem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_ax) ).
fof(f7,axiom,
! [X0,X1,X2] :
( mem(X0,m(X1,X2))
<=> ( mem(X0,X1)
& ~ mem(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_ax) ).
fof(f8,axiom,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_def) ).
fof(f9,axiom,
! [X0] : n(X0) = a(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',n_def) ).
fof(f10,axiom,
! [X0,X1] :
( mem(X0,p(X1))
<=> subq(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p_ax) ).
fof(f26,conjecture,
disj(u(s(u(n(e),n(s(n(e))))),m(p(n(n(n(e)))),n(n(n(n(e)))))),a(a(n(e),p(s(n(e)))),a(s(s(n(e))),n(n(e))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',disj_1924_4129) ).
fof(f27,negated_conjecture,
~ disj(u(s(u(n(e),n(s(n(e))))),m(p(n(n(n(e)))),n(n(n(n(e)))))),a(a(n(e),p(s(n(e)))),a(s(s(n(e))),n(n(e))))),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
~ disj(u(s(u(n(e),n(s(n(e))))),m(p(n(n(n(e)))),n(n(n(n(e)))))),a(a(n(e),p(s(n(e)))),a(s(s(n(e))),n(n(e))))),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0,X1] :
( ~ ? [X2] :
( mem(X2,X0)
& mem(X2,X1) )
=> disj(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f3]) ).
fof(f30,plain,
! [X0,X1] :
( subq(X0,X1)
<=> ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f31,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f32,plain,
! [X0,X1] :
( X0 = X1
| ~ subq(X1,X0)
| ~ subq(X0,X1) ),
inference(flattening,[],[f31]) ).
fof(f33,plain,
! [X0,X1] :
( disj(X0,X1)
| ? [X2] :
( mem(X2,X0)
& mem(X2,X1) ) ),
inference(ennf_transformation,[],[f29]) ).
fof(f34,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X2] :
( mem(X2,X1)
| ~ mem(X2,X0) )
| ~ subq(X0,X1) ) ),
inference(nnf_transformation,[],[f30]) ).
fof(f35,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ? [X2] :
( ~ mem(X2,X1)
& mem(X2,X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(rectify,[],[f34]) ).
fof(f36,plain,
! [X0,X1] :
( ( subq(X0,X1)
| ( ~ mem(sK0(X0,X1),X1)
& mem(sK0(X0,X1),X0) ) )
& ( ! [X3] :
( mem(X3,X1)
| ~ mem(X3,X0) )
| ~ subq(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( disj(X0,X1)
| ( mem(sK1(X0,X1),X0)
& mem(sK1(X0,X1),X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f33]) ).
fof(f38,plain,
! [X0,X1] :
( ( mem(X0,s(X1))
| X0 != X1 )
& ( X0 = X1
| ~ mem(X0,s(X1)) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f39,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(nnf_transformation,[],[f6]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ( mem(X0,u(X1,X2))
| ( ~ mem(X0,X1)
& ~ mem(X0,X2) ) )
& ( mem(X0,X1)
| mem(X0,X2)
| ~ mem(X0,u(X1,X2)) ) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ( mem(X0,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) )
& ( ( mem(X0,X1)
& ~ mem(X0,X2) )
| ~ mem(X0,m(X1,X2)) ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f42,plain,
! [X0,X1,X2] :
( ( mem(X0,m(X1,X2))
| ~ mem(X0,X1)
| mem(X0,X2) )
& ( ( mem(X0,X1)
& ~ mem(X0,X2) )
| ~ mem(X0,m(X1,X2)) ) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( mem(X0,p(X1))
| ~ subq(X0,X1) )
& ( subq(X0,X1)
| ~ mem(X0,p(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f44,plain,
! [X3,X0,X1] :
( ~ mem(X3,X0)
| mem(X3,X1)
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f45,plain,
! [X0,X1] :
( mem(sK0(X0,X1),X0)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f46,plain,
! [X0,X1] :
( ~ mem(sK0(X0,X1),X1)
| subq(X0,X1) ),
inference(cnf_transformation,[],[f36]) ).
fof(f47,plain,
! [X0,X1] :
( ~ subq(X1,X0)
| X0 = X1
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f48,plain,
! [X0,X1] :
( mem(sK1(X0,X1),X1)
| disj(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f49,plain,
! [X0,X1] :
( mem(sK1(X0,X1),X0)
| disj(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f50,plain,
! [X0] : ~ mem(X0,e),
inference(cnf_transformation,[],[f4]) ).
fof(f51,plain,
! [X0,X1] :
( ~ mem(X0,s(X1))
| X0 = X1 ),
inference(cnf_transformation,[],[f38]) ).
fof(f52,plain,
! [X0,X1] :
( mem(X0,s(X1))
| X0 != X1 ),
inference(cnf_transformation,[],[f38]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ mem(X0,u(X1,X2))
| mem(X0,X2)
| mem(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f54,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f55,plain,
! [X2,X0,X1] :
( mem(X0,u(X1,X2))
| ~ mem(X0,X1) ),
inference(cnf_transformation,[],[f40]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ mem(X0,m(X1,X2))
| ~ mem(X0,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ mem(X0,m(X1,X2))
| mem(X0,X1) ),
inference(cnf_transformation,[],[f42]) ).
fof(f59,plain,
! [X0,X1] : a(X0,X1) = u(X0,s(X1)),
inference(cnf_transformation,[],[f8]) ).
fof(f60,plain,
! [X0] : n(X0) = a(X0,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f61,plain,
! [X0,X1] :
( ~ mem(X0,p(X1))
| subq(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f62,plain,
! [X0,X1] :
( mem(X0,p(X1))
| ~ subq(X0,X1) ),
inference(cnf_transformation,[],[f43]) ).
fof(f63,plain,
~ disj(u(s(u(n(e),n(s(n(e))))),m(p(n(n(n(e)))),n(n(n(n(e)))))),a(a(n(e),p(s(n(e)))),a(s(s(n(e))),n(n(e))))),
inference(cnf_transformation,[],[f28]) ).
fof(f64,plain,
! [X0] : n(X0) = u(X0,s(X0)),
inference(definition_unfolding,[],[f60,f59]) ).
fof(f65,plain,
~ disj(u(s(u(u(e,s(e)),u(s(u(e,s(e))),s(s(u(e,s(e))))))),m(p(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))),u(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))),s(u(u(u(e,s(e)),s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e)))))))))),u(u(u(e,s(e)),s(p(s(u(e,s(e)))))),s(u(s(s(u(e,s(e)))),s(u(u(e,s(e)),s(u(e,s(e))))))))),
inference(definition_unfolding,[],[f63,f64,f64,f64,f64,f64,f64,f64,f64,f64,f64,f59,f59,f64,f64,f59,f64,f64,f64]) ).
fof(f66,plain,
! [X1] : mem(X1,s(X1)),
inference(equality_resolution,[],[f52]) ).
fof(f67,definition,
sF2 = s(e),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f68,plain,
s(e) = sF2,
inference(reorient_equations,[],[f67]) ).
fof(f69,definition,
sF3 = u(e,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f70,plain,
u(e,sF2) = sF3,
inference(reorient_equations,[],[f69]) ).
fof(f71,definition,
sF4 = s(sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f72,plain,
s(sF3) = sF4,
inference(reorient_equations,[],[f71]) ).
fof(f73,definition,
sF5 = s(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f74,plain,
s(sF4) = sF5,
inference(reorient_equations,[],[f73]) ).
fof(f75,definition,
sF6 = u(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f76,plain,
u(sF4,sF5) = sF6,
inference(reorient_equations,[],[f75]) ).
fof(f77,definition,
sF7 = u(sF3,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f78,plain,
u(sF3,sF6) = sF7,
inference(reorient_equations,[],[f77]) ).
fof(f79,definition,
sF8 = s(sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f80,plain,
s(sF7) = sF8,
inference(reorient_equations,[],[f79]) ).
fof(f81,definition,
sF9 = u(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f82,plain,
u(sF3,sF4) = sF9,
inference(reorient_equations,[],[f81]) ).
fof(f83,definition,
sF10 = s(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f84,plain,
s(sF9) = sF10,
inference(reorient_equations,[],[f83]) ).
fof(f85,definition,
sF11 = u(sF9,sF10),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f86,plain,
u(sF9,sF10) = sF11,
inference(reorient_equations,[],[f85]) ).
fof(f87,definition,
sF12 = p(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f88,plain,
p(sF11) = sF12,
inference(reorient_equations,[],[f87]) ).
fof(f89,definition,
sF13 = s(sF11),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f90,plain,
s(sF11) = sF13,
inference(reorient_equations,[],[f89]) ).
fof(f91,definition,
sF14 = u(sF11,sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f92,plain,
u(sF11,sF13) = sF14,
inference(reorient_equations,[],[f91]) ).
fof(f93,definition,
sF15 = m(sF12,sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f94,plain,
m(sF12,sF14) = sF15,
inference(reorient_equations,[],[f93]) ).
fof(f95,definition,
sF16 = u(sF8,sF15),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f96,plain,
u(sF8,sF15) = sF16,
inference(reorient_equations,[],[f95]) ).
fof(f97,definition,
sF17 = p(sF4),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f98,plain,
p(sF4) = sF17,
inference(reorient_equations,[],[f97]) ).
fof(f99,definition,
sF18 = s(sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f100,plain,
s(sF17) = sF18,
inference(reorient_equations,[],[f99]) ).
fof(f101,definition,
sF19 = u(sF3,sF18),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f102,plain,
u(sF3,sF18) = sF19,
inference(reorient_equations,[],[f101]) ).
fof(f103,definition,
sF20 = u(sF5,sF10),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f104,plain,
u(sF5,sF10) = sF20,
inference(reorient_equations,[],[f103]) ).
fof(f105,definition,
sF21 = s(sF20),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f106,plain,
s(sF20) = sF21,
inference(reorient_equations,[],[f105]) ).
fof(f107,definition,
sF22 = u(sF19,sF21),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f108,plain,
u(sF19,sF21) = sF22,
inference(reorient_equations,[],[f107]) ).
fof(f109,plain,
~ disj(sF16,sF22),
inference(definition_folding,[],[f65,f108,f106,f104,f84,f82,f72,f70,f68,f70,f68,f74,f72,f70,f68,f102,f100,f98,f72,f70,f68,f70,f68,f96,f94,f92,f90,f86,f84,f82,f72,f70,f68,f70,f68,f82,f72,f70,f68,f70,f68,f86,f84,f82,f72,f70,f68,f70,f68,f82,f72,f70,f68,f70,f68,f88,f86,f84,f82,f72,f70,f68,f70,f68,f82,f72,f70,f68,f70,f68,f80,f78,f76,f74,f72,f70,f68,f72,f70,f68,f70,f68]) ).
fof(f110,plain,
mem(e,sF2),
inference(superposition,[],[f66,f68]) ).
fof(f111,plain,
mem(sF3,sF4),
inference(superposition,[],[f66,f72]) ).
fof(f112,plain,
mem(sF4,sF5),
inference(superposition,[],[f66,f74]) ).
fof(f118,plain,
! [X0] :
( ~ mem(X0,sF2)
| mem(X0,sF3) ),
inference(superposition,[],[f54,f70]) ).
fof(f119,plain,
! [X0] :
( ~ mem(X0,sF4)
| mem(X0,sF9) ),
inference(superposition,[],[f54,f82]) ).
fof(f131,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF9) ),
inference(superposition,[],[f55,f82]) ).
fof(f133,plain,
! [X0] :
( ~ mem(X0,sF4)
| mem(X0,sF6) ),
inference(superposition,[],[f55,f76]) ).
fof(f135,plain,
! [X0] :
( ~ mem(X0,sF9)
| mem(X0,sF11) ),
inference(superposition,[],[f55,f86]) ).
fof(f136,plain,
! [X0] :
( ~ mem(X0,sF11)
| mem(X0,sF14) ),
inference(superposition,[],[f55,f92]) ).
fof(f144,plain,
! [X0] :
( ~ mem(X0,sF12)
| subq(X0,sF11) ),
inference(superposition,[],[f61,f88]) ).
fof(f145,plain,
! [X0] :
( ~ mem(X0,sF17)
| subq(X0,sF4) ),
inference(superposition,[],[f61,f98]) ).
fof(f148,plain,
! [X0] :
( ~ mem(X0,sF15)
| ~ mem(X0,sF14) ),
inference(superposition,[],[f56,f94]) ).
fof(f149,plain,
! [X0] :
( ~ mem(X0,sF5)
| mem(X0,sF20) ),
inference(superposition,[],[f55,f104]) ).
fof(f155,plain,
! [X0] :
( ~ mem(X0,sF15)
| mem(X0,sF12) ),
inference(superposition,[],[f57,f94]) ).
fof(f159,plain,
! [X0] :
( ~ mem(X0,sF2)
| e = X0 ),
inference(superposition,[],[f51,f68]) ).
fof(f160,plain,
! [X0] :
( ~ mem(X0,sF4)
| sF3 = X0 ),
inference(superposition,[],[f51,f72]) ).
fof(f161,plain,
! [X0] :
( ~ mem(X0,sF5)
| sF4 = X0 ),
inference(superposition,[],[f51,f74]) ).
fof(f162,plain,
! [X0] :
( ~ mem(X0,sF8)
| sF7 = X0 ),
inference(superposition,[],[f51,f80]) ).
fof(f163,plain,
! [X0] :
( ~ mem(X0,sF10)
| sF9 = X0 ),
inference(superposition,[],[f51,f84]) ).
fof(f165,plain,
! [X0] :
( ~ mem(X0,sF18)
| sF17 = X0 ),
inference(superposition,[],[f51,f100]) ).
fof(f166,plain,
! [X0] :
( ~ mem(X0,sF21)
| sF20 = X0 ),
inference(superposition,[],[f51,f106]) ).
fof(f169,plain,
mem(e,sF3),
inference(resolution,[],[f118,f110]) ).
fof(f172,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF7) ),
inference(superposition,[],[f55,f78]) ).
fof(f173,plain,
! [X0] :
( ~ mem(X0,sF6)
| mem(X0,sF7) ),
inference(superposition,[],[f54,f78]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ mem(sK0(X0,u(X1,X2)),X2)
| subq(X0,u(X1,X2)) ),
inference(resolution,[],[f46,f54]) ).
fof(f185,plain,
mem(sF3,sF9),
inference(resolution,[],[f111,f119]) ).
fof(f195,plain,
mem(e,sF9),
inference(resolution,[],[f131,f169]) ).
fof(f204,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF2)
| mem(X0,e) ),
inference(superposition,[],[f53,f70]) ).
fof(f205,plain,
! [X0] :
( ~ mem(X0,sF9)
| mem(X0,sF4)
| mem(X0,sF3) ),
inference(superposition,[],[f53,f82]) ).
fof(f206,plain,
! [X0] :
( ~ mem(X0,sF19)
| mem(X0,sF18)
| mem(X0,sF3) ),
inference(superposition,[],[f53,f102]) ).
fof(f209,plain,
! [X0] :
( ~ mem(X0,sF20)
| mem(X0,sF10)
| mem(X0,sF5) ),
inference(superposition,[],[f53,f104]) ).
fof(f210,plain,
! [X0] :
( ~ mem(X0,sF16)
| mem(X0,sF15)
| mem(X0,sF8) ),
inference(superposition,[],[f53,f96]) ).
fof(f211,plain,
! [X0] :
( ~ mem(X0,sF11)
| mem(X0,sF10)
| mem(X0,sF9) ),
inference(superposition,[],[f53,f86]) ).
fof(f213,plain,
! [X0] :
( ~ mem(X0,sF22)
| mem(X0,sF21)
| mem(X0,sF19) ),
inference(superposition,[],[f53,f108]) ).
fof(f214,plain,
! [X0] :
( ~ mem(X0,sF3)
| mem(X0,sF2) ),
inference(forward_subsumption_resolution,[],[f204,f50]) ).
fof(f217,plain,
mem(sF3,sF6),
inference(resolution,[],[f133,f111]) ).
fof(f224,plain,
! [X0] :
( ~ subq(X0,sF4)
| mem(X0,sF17) ),
inference(superposition,[],[f62,f98]) ).
fof(f230,plain,
! [X0] :
( subq(X0,X0)
| subq(X0,X0) ),
inference(resolution,[],[f45,f46]) ).
fof(f231,plain,
! [X0] : subq(e,X0),
inference(resolution,[],[f45,f50]) ).
fof(f238,plain,
! [X0] :
( mem(sK0(sF3,X0),sF2)
| subq(sF3,X0) ),
inference(resolution,[],[f45,f214]) ).
fof(f253,plain,
! [X0] : subq(X0,X0),
inference(duplicate_literal_removal,[],[f230]) ).
fof(f263,plain,
! [X0] :
( mem(sK1(sF16,X0),sF15)
| mem(sK1(sF16,X0),sF8)
| disj(sF16,X0) ),
inference(resolution,[],[f210,f49]) ).
fof(f283,plain,
! [X0] :
( mem(sK1(X0,sF22),sF21)
| mem(sK1(X0,sF22),sF19)
| disj(X0,sF22) ),
inference(resolution,[],[f213,f48]) ).
fof(f324,plain,
! [X0] :
( subq(sF4,X0)
| sF3 = sK0(sF4,X0) ),
inference(resolution,[],[f160,f45]) ).
fof(f328,plain,
mem(e,sF7),
inference(resolution,[],[f172,f169]) ).
fof(f335,plain,
mem(sF4,sF20),
inference(resolution,[],[f149,f112]) ).
fof(f342,plain,
mem(sF3,sF7),
inference(resolution,[],[f217,f173]) ).
fof(f376,plain,
! [X0] :
( ~ subq(sF2,X0)
| mem(e,X0) ),
inference(resolution,[],[f44,f110]) ).
fof(f377,plain,
! [X0] :
( ~ subq(sF3,X0)
| mem(e,X0) ),
inference(resolution,[],[f44,f169]) ).
fof(f387,plain,
! [X0] :
( ~ subq(sF4,X0)
| mem(sF3,X0) ),
inference(resolution,[],[f44,f111]) ).
fof(f390,plain,
! [X0] :
( ~ subq(sF9,X0)
| mem(sF3,X0) ),
inference(resolution,[],[f44,f185]) ).
fof(f396,plain,
! [X0] :
( ~ subq(sF20,X0)
| mem(sF4,X0) ),
inference(resolution,[],[f44,f335]) ).
fof(f415,plain,
! [X0] :
( mem(sK1(sF16,X0),sF12)
| disj(sF16,X0)
| mem(sK1(sF16,X0),sF8) ),
inference(resolution,[],[f263,f155]) ).
fof(f416,plain,
! [X0] :
( ~ mem(sK1(sF16,X0),sF14)
| disj(sF16,X0)
| mem(sK1(sF16,X0),sF8) ),
inference(resolution,[],[f263,f148]) ).
fof(f431,plain,
! [X0] :
( subq(sK1(sF16,X0),sF11)
| mem(sK1(sF16,X0),sF8)
| disj(sF16,X0) ),
inference(resolution,[],[f415,f144]) ).
fof(f480,plain,
! [X0] :
( mem(sK1(X0,sF22),sF19)
| disj(X0,sF22)
| sF20 = sK1(X0,sF22) ),
inference(resolution,[],[f283,f166]) ).
fof(f484,plain,
! [X0] :
( mem(sK1(X0,sF22),sF18)
| sF20 = sK1(X0,sF22)
| disj(X0,sF22)
| mem(sK1(X0,sF22),sF3) ),
inference(resolution,[],[f480,f206]) ).
fof(f487,plain,
! [X0] :
( mem(sK1(X0,sF22),sF3)
| disj(X0,sF22)
| sF20 = sK1(X0,sF22)
| sF17 = sK1(X0,sF22) ),
inference(resolution,[],[f484,f165]) ).
fof(f493,plain,
! [X0] :
( mem(sK1(X0,sF22),sF9)
| sF20 = sK1(X0,sF22)
| sF17 = sK1(X0,sF22)
| disj(X0,sF22) ),
inference(resolution,[],[f487,f131]) ).
fof(f496,plain,
! [X0] :
( mem(sK1(X0,sF22),sF11)
| sF17 = sK1(X0,sF22)
| disj(X0,sF22)
| sF20 = sK1(X0,sF22) ),
inference(resolution,[],[f493,f135]) ).
fof(f502,plain,
! [X0] :
( mem(sK1(X0,sF22),sF14)
| disj(X0,sF22)
| sF20 = sK1(X0,sF22)
| sF17 = sK1(X0,sF22) ),
inference(resolution,[],[f496,f136]) ).
fof(f504,plain,
( disj(sF16,sF22)
| sF20 = sK1(sF16,sF22)
| sF17 = sK1(sF16,sF22)
| disj(sF16,sF22)
| mem(sK1(sF16,sF22),sF8) ),
inference(resolution,[],[f502,f416]) ).
fof(f507,plain,
( disj(sF16,sF22)
| sF20 = sK1(sF16,sF22)
| sF17 = sK1(sF16,sF22)
| mem(sK1(sF16,sF22),sF8) ),
inference(duplicate_literal_removal,[],[f504]) ).
fof(f508,plain,
( sF20 = sK1(sF16,sF22)
| sF17 = sK1(sF16,sF22)
| mem(sK1(sF16,sF22),sF8) ),
inference(forward_subsumption_resolution,[],[f507,f109]) ).
fof(f510,definition,
( spl23_5
<=> mem(sK1(sF16,sF22),sF8) ),
introduced(definition,[new_symbols(definition,[spl23_5])],[avatar_definition]) ).
fof(f511,plain,
( ~ mem(sK1(sF16,sF22),sF8)
| spl23_5 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f512,plain,
( mem(sK1(sF16,sF22),sF8)
| ~ spl23_5 ),
inference(avatar_component_clause,[],[f510]) ).
fof(f514,definition,
( spl23_6
<=> sF17 = sK1(sF16,sF22) ),
introduced(definition,[new_symbols(definition,[spl23_6])],[avatar_definition]) ).
fof(f516,plain,
( sF17 = sK1(sF16,sF22)
| ~ spl23_6 ),
inference(avatar_component_clause,[],[f514]) ).
fof(f518,definition,
( spl23_7
<=> sF20 = sK1(sF16,sF22) ),
introduced(definition,[new_symbols(definition,[spl23_7])],[avatar_definition]) ).
fof(f520,plain,
( sF20 = sK1(sF16,sF22)
| ~ spl23_7 ),
inference(avatar_component_clause,[],[f518]) ).
fof(f521,plain,
( spl23_5
| spl23_6
| spl23_7 ),
inference(avatar_split_clause,[],[f508,f518,f514,f510]) ).
fof(f522,plain,
( sF7 = sK1(sF16,sF22)
| ~ spl23_5 ),
inference(resolution,[],[f512,f162]) ).
fof(f530,plain,
( mem(sF7,sF19)
| disj(sF16,sF22)
| sF7 = sF20
| ~ spl23_5 ),
inference(superposition,[],[f480,f522]) ).
fof(f546,plain,
( mem(sF7,sF19)
| sF7 = sF20
| ~ spl23_5 ),
inference(forward_subsumption_resolution,[],[f530,f109]) ).
fof(f549,definition,
( spl23_8
<=> sF7 = sF17 ),
introduced(definition,[new_symbols(definition,[spl23_8])],[avatar_definition]) ).
fof(f550,plain,
( sF7 != sF17
| spl23_8 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f551,plain,
( sF7 = sF17
| ~ spl23_8 ),
inference(avatar_component_clause,[],[f549]) ).
fof(f553,definition,
( spl23_9
<=> sF7 = sF20 ),
introduced(definition,[new_symbols(definition,[spl23_9])],[avatar_definition]) ).
fof(f555,plain,
( sF7 = sF20
| ~ spl23_9 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f577,definition,
( spl23_14
<=> mem(sF7,sF3) ),
introduced(definition,[new_symbols(definition,[spl23_14])],[avatar_definition]) ).
fof(f578,plain,
( ~ mem(sF7,sF3)
| spl23_14 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f579,plain,
( mem(sF7,sF3)
| ~ spl23_14 ),
inference(avatar_component_clause,[],[f577]) ).
fof(f582,definition,
( spl23_15
<=> mem(sF7,sF18) ),
introduced(definition,[new_symbols(definition,[spl23_15])],[avatar_definition]) ).
fof(f583,plain,
( ~ mem(sF7,sF18)
| spl23_15 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f584,plain,
( mem(sF7,sF18)
| ~ spl23_15 ),
inference(avatar_component_clause,[],[f582]) ).
fof(f587,definition,
( spl23_16
<=> mem(sF7,sF19) ),
introduced(definition,[new_symbols(definition,[spl23_16])],[avatar_definition]) ).
fof(f589,plain,
( mem(sF7,sF19)
| ~ spl23_16 ),
inference(avatar_component_clause,[],[f587]) ).
fof(f590,plain,
( spl23_9
| spl23_16
| ~ spl23_5 ),
inference(avatar_split_clause,[],[f546,f510,f587,f553]) ).
fof(f596,plain,
( mem(sF17,sF12)
| disj(sF16,sF22)
| mem(sF17,sF8)
| ~ spl23_6 ),
inference(superposition,[],[f415,f516]) ).
fof(f607,plain,
( mem(sF17,sF12)
| mem(sF17,sF8)
| ~ spl23_6 ),
inference(forward_subsumption_resolution,[],[f596,f109]) ).
fof(f609,definition,
( spl23_18
<=> mem(sF17,sF8) ),
introduced(definition,[new_symbols(definition,[spl23_18])],[avatar_definition]) ).
fof(f611,plain,
( mem(sF17,sF8)
| ~ spl23_18 ),
inference(avatar_component_clause,[],[f609]) ).
fof(f623,definition,
( spl23_21
<=> mem(sF17,sF12) ),
introduced(definition,[new_symbols(definition,[spl23_21])],[avatar_definition]) ).
fof(f625,plain,
( mem(sF17,sF12)
| ~ spl23_21 ),
inference(avatar_component_clause,[],[f623]) ).
fof(f626,plain,
( spl23_18
| spl23_21
| ~ spl23_6 ),
inference(avatar_split_clause,[],[f607,f514,f623,f609]) ).
fof(f638,definition,
( spl23_22
<=> mem(sF20,sF8) ),
introduced(definition,[new_symbols(definition,[spl23_22])],[avatar_definition]) ).
fof(f639,plain,
( ~ mem(sF20,sF8)
| spl23_22 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f640,plain,
( mem(sF20,sF8)
| ~ spl23_22 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f675,plain,
( ! [X0] :
( ~ mem(X0,sF7)
| subq(X0,sF4) )
| ~ spl23_8 ),
inference(superposition,[],[f145,f551]) ).
fof(f725,plain,
( mem(sF7,sF18)
| mem(sF7,sF3)
| ~ spl23_16 ),
inference(resolution,[],[f589,f206]) ).
fof(f728,plain,
( mem(sF7,sF18)
| spl23_14
| ~ spl23_16 ),
inference(forward_subsumption_resolution,[],[f725,f578]) ).
fof(f865,plain,
( subq(sF3,sF4)
| ~ spl23_8 ),
inference(resolution,[],[f675,f342]) ).
fof(f872,definition,
( spl23_28
<=> subq(sF4,sF3) ),
introduced(definition,[new_symbols(definition,[spl23_28])],[avatar_definition]) ).
fof(f873,plain,
( subq(sF4,sF3)
| ~ spl23_28 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f874,plain,
( ~ subq(sF4,sF3)
| spl23_28 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f876,definition,
( spl23_29
<=> sF3 = sF4 ),
introduced(definition,[new_symbols(definition,[spl23_29])],[avatar_definition]) ).
fof(f877,plain,
( sF3 != sF4
| spl23_29 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f878,plain,
( sF3 = sF4
| ~ spl23_29 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f881,plain,
( mem(e,sF4)
| ~ spl23_8 ),
inference(resolution,[],[f377,f865]) ).
fof(f882,plain,
( e = sF3
| ~ spl23_8 ),
inference(resolution,[],[f881,f160]) ).
fof(f887,plain,
( sF2 = s(sF3)
| ~ spl23_8 ),
inference(superposition,[],[f68,f882]) ).
fof(f896,plain,
( ! [X0] : subq(sF3,X0)
| ~ spl23_8 ),
inference(superposition,[],[f231,f882]) ).
fof(f901,plain,
( sF2 = sF4
| ~ spl23_8 ),
inference(forward_demodulation,[],[f887,f72]) ).
fof(f906,plain,
( sF3 = u(e,sF4)
| ~ spl23_8 ),
inference(superposition,[],[f70,f901]) ).
fof(f907,plain,
( sF3 = u(sF3,sF4)
| ~ spl23_8 ),
inference(forward_demodulation,[],[f906,f882]) ).
fof(f911,plain,
( sF3 = sF9
| ~ spl23_8 ),
inference(forward_demodulation,[],[f907,f82]) ).
fof(f923,plain,
( ! [X0] :
( ~ subq(sF3,X0)
| mem(sF3,X0) )
| ~ spl23_8 ),
inference(superposition,[],[f390,f911]) ).
fof(f927,plain,
( ! [X0] : mem(sF3,X0)
| ~ spl23_8 ),
inference(forward_subsumption_resolution,[],[f923,f896]) ).
fof(f934,plain,
( ! [X0] : ~ mem(sF3,X0)
| ~ spl23_8 ),
inference(resolution,[],[f927,f56]) ).
fof(f986,plain,
( $false
| ~ spl23_8 ),
inference(forward_subsumption_resolution,[],[f934,f927]) ).
fof(f987,plain,
~ spl23_8,
inference(avatar_contradiction_clause,[],[f986]) ).
fof(f1003,plain,
( subq(sF17,sF11)
| ~ spl23_21 ),
inference(resolution,[],[f625,f144]) ).
fof(f1006,plain,
( sF7 = sF17
| ~ spl23_15 ),
inference(resolution,[],[f584,f165]) ).
fof(f1009,plain,
( $false
| spl23_8
| ~ spl23_15 ),
inference(forward_subsumption_resolution,[],[f1006,f550]) ).
fof(f1010,plain,
( spl23_8
| ~ spl23_15 ),
inference(avatar_contradiction_clause,[],[f1009]) ).
fof(f1011,plain,
( $false
| spl23_14
| spl23_15
| ~ spl23_16 ),
inference(forward_subsumption_resolution,[],[f728,f583]) ).
fof(f1012,plain,
( spl23_14
| spl23_15
| ~ spl23_16 ),
inference(avatar_contradiction_clause,[],[f1011]) ).
fof(f1614,plain,
mem(sF4,sF17),
inference(resolution,[],[f253,f224]) ).
fof(f1641,plain,
! [X0] :
( ~ subq(sF17,X0)
| mem(sF4,X0) ),
inference(resolution,[],[f1614,f44]) ).
fof(f1713,definition,
( spl23_88
<=> mem(sF2,sF17) ),
introduced(definition,[new_symbols(definition,[spl23_88])],[avatar_definition]) ).
fof(f1714,plain,
( ~ mem(sF2,sF17)
| spl23_88 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f1715,plain,
( mem(sF2,sF17)
| ~ spl23_88 ),
inference(avatar_component_clause,[],[f1713]) ).
fof(f1749,plain,
( subq(sF2,sF4)
| ~ spl23_88 ),
inference(resolution,[],[f1715,f145]) ).
fof(f1751,plain,
( mem(e,sF4)
| ~ spl23_88 ),
inference(resolution,[],[f1749,f376]) ).
fof(f1759,definition,
( spl23_95
<=> sF2 = sF4 ),
introduced(definition,[new_symbols(definition,[spl23_95])],[avatar_definition]) ).
fof(f1760,plain,
( sF2 != sF4
| spl23_95 ),
inference(avatar_component_clause,[],[f1759]) ).
fof(f1761,plain,
( sF2 = sF4
| ~ spl23_95 ),
inference(avatar_component_clause,[],[f1759]) ).
fof(f1763,plain,
( e = sF3
| ~ spl23_88 ),
inference(resolution,[],[f1751,f160]) ).
fof(f1771,plain,
( ! [X0] : ~ mem(X0,sF3)
| ~ spl23_88 ),
inference(superposition,[],[f50,f1763]) ).
fof(f1794,plain,
( ! [X0] :
( ~ mem(X0,sF4)
| mem(X0,sF3) )
| ~ spl23_95 ),
inference(superposition,[],[f118,f1761]) ).
fof(f1809,plain,
( ! [X0] : ~ mem(X0,sF4)
| ~ spl23_88
| ~ spl23_95 ),
inference(forward_subsumption_resolution,[],[f1794,f1771]) ).
fof(f1819,plain,
( $false
| ~ spl23_88
| ~ spl23_95 ),
inference(resolution,[],[f1809,f111]) ).
fof(f1820,plain,
( ~ spl23_88
| ~ spl23_95 ),
inference(avatar_contradiction_clause,[],[f1819]) ).
fof(f1822,plain,
( ~ mem(sF4,sF17)
| spl23_88
| ~ spl23_95 ),
inference(forward_demodulation,[],[f1714,f1761]) ).
fof(f1824,plain,
( $false
| spl23_88
| ~ spl23_95 ),
inference(forward_subsumption_resolution,[],[f1822,f1614]) ).
fof(f1825,plain,
( spl23_88
| ~ spl23_95 ),
inference(avatar_contradiction_clause,[],[f1824]) ).
fof(f1959,definition,
( spl23_113
<=> e = sF7 ),
introduced(definition,[new_symbols(definition,[spl23_113])],[avatar_definition]) ).
fof(f1960,plain,
( e != sF7
| spl23_113 ),
inference(avatar_component_clause,[],[f1959]) ).
fof(f1961,plain,
( e = sF7
| ~ spl23_113 ),
inference(avatar_component_clause,[],[f1959]) ).
fof(f1964,definition,
( spl23_114
<=> mem(e,sF4) ),
introduced(definition,[new_symbols(definition,[spl23_114])],[avatar_definition]) ).
fof(f1965,plain,
( ~ mem(e,sF4)
| spl23_114 ),
inference(avatar_component_clause,[],[f1964]) ).
fof(f1966,plain,
( mem(e,sF4)
| ~ spl23_114 ),
inference(avatar_component_clause,[],[f1964]) ).
fof(f1982,definition,
( spl23_118
<=> e = sF4 ),
introduced(definition,[new_symbols(definition,[spl23_118])],[avatar_definition]) ).
fof(f1983,plain,
( e != sF4
| spl23_118 ),
inference(avatar_component_clause,[],[f1982]) ).
fof(f1984,plain,
( e = sF4
| ~ spl23_118 ),
inference(avatar_component_clause,[],[f1982]) ).
fof(f2108,plain,
( subq(sF3,sF2)
| subq(sF3,sF2) ),
inference(resolution,[],[f238,f46]) ).
fof(f2112,plain,
subq(sF3,sF2),
inference(duplicate_literal_removal,[],[f2108]) ).
fof(f2116,plain,
( sF2 = sF3
| ~ subq(sF2,sF3) ),
inference(resolution,[],[f2112,f47]) ).
fof(f2118,definition,
( spl23_121
<=> subq(sF2,sF3) ),
introduced(definition,[new_symbols(definition,[spl23_121])],[avatar_definition]) ).
fof(f2120,plain,
( ~ subq(sF2,sF3)
| spl23_121 ),
inference(avatar_component_clause,[],[f2118]) ).
fof(f2122,definition,
( spl23_122
<=> sF2 = sF3 ),
introduced(definition,[new_symbols(definition,[spl23_122])],[avatar_definition]) ).
fof(f2124,plain,
( sF2 = sF3
| ~ spl23_122 ),
inference(avatar_component_clause,[],[f2122]) ).
fof(f2125,plain,
( ~ spl23_121
| spl23_122 ),
inference(avatar_split_clause,[],[f2116,f2122,f2118]) ).
fof(f2141,plain,
! [X0,X1] :
( subq(X0,u(X1,X0))
| subq(X0,u(X1,X0)) ),
inference(resolution,[],[f175,f45]) ).
fof(f2182,plain,
! [X0,X1] : subq(X0,u(X1,X0)),
inference(duplicate_literal_removal,[],[f2141]) ).
fof(f2521,plain,
( ! [X0] :
( ~ mem(X0,sF3)
| sF3 = X0 )
| ~ spl23_29 ),
inference(superposition,[],[f160,f878]) ).
fof(f2656,plain,
( e = sF3
| ~ spl23_29 ),
inference(resolution,[],[f2521,f169]) ).
fof(f2817,plain,
( sF2 = s(sF3)
| ~ spl23_29 ),
inference(superposition,[],[f68,f2656]) ).
fof(f2835,plain,
( sF2 = sF4
| ~ spl23_29 ),
inference(forward_demodulation,[],[f2817,f72]) ).
fof(f2836,plain,
( $false
| ~ spl23_29
| spl23_95 ),
inference(forward_subsumption_resolution,[],[f2835,f1760]) ).
fof(f2837,plain,
( ~ spl23_29
| spl23_95 ),
inference(avatar_contradiction_clause,[],[f2836]) ).
fof(f2884,plain,
( sF2 = s(sF4)
| ~ spl23_118 ),
inference(superposition,[],[f68,f1984]) ).
fof(f2902,plain,
( sF2 = sF5
| ~ spl23_118 ),
inference(forward_demodulation,[],[f2884,f74]) ).
fof(f2903,plain,
( sF3 = u(e,sF5)
| ~ spl23_118 ),
inference(superposition,[],[f70,f2902]) ).
fof(f2925,plain,
( sF3 = u(sF4,sF5)
| ~ spl23_118 ),
inference(forward_demodulation,[],[f2903,f1984]) ).
fof(f2926,plain,
( sF3 = sF6
| ~ spl23_118 ),
inference(forward_demodulation,[],[f2925,f76]) ).
fof(f2931,plain,
( mem(sF3,sF3)
| ~ spl23_118 ),
inference(superposition,[],[f217,f2926]) ).
fof(f2938,plain,
( mem(sF3,sF2)
| ~ spl23_118 ),
inference(resolution,[],[f2931,f214]) ).
fof(f2940,plain,
( mem(sF3,sF5)
| ~ spl23_118 ),
inference(forward_demodulation,[],[f2938,f2902]) ).
fof(f2947,plain,
( sF3 = sF4
| ~ spl23_118 ),
inference(resolution,[],[f2940,f161]) ).
fof(f2950,plain,
( $false
| spl23_29
| ~ spl23_118 ),
inference(forward_subsumption_resolution,[],[f2947,f877]) ).
fof(f2951,plain,
( spl23_29
| ~ spl23_118 ),
inference(avatar_contradiction_clause,[],[f2950]) ).
fof(f2965,plain,
( e = sF3
| ~ spl23_114 ),
inference(resolution,[],[f1966,f160]) ).
fof(f2970,plain,
( sF2 = s(sF3)
| ~ spl23_114 ),
inference(superposition,[],[f68,f2965]) ).
fof(f2988,plain,
( sF2 = sF4
| ~ spl23_114 ),
inference(forward_demodulation,[],[f2970,f72]) ).
fof(f2989,plain,
( $false
| spl23_95
| ~ spl23_114 ),
inference(forward_subsumption_resolution,[],[f2988,f1760]) ).
fof(f2990,plain,
( spl23_95
| ~ spl23_114 ),
inference(avatar_contradiction_clause,[],[f2989]) ).
fof(f3066,definition,
( spl23_132
<=> e = sF3 ),
introduced(definition,[new_symbols(definition,[spl23_132])],[avatar_definition]) ).
fof(f3067,plain,
( e != sF3
| spl23_132 ),
inference(avatar_component_clause,[],[f3066]) ).
fof(f3068,plain,
( e = sF3
| ~ spl23_132 ),
inference(avatar_component_clause,[],[f3066]) ).
fof(f3080,plain,
( sF2 = s(sF3)
| ~ spl23_132 ),
inference(superposition,[],[f68,f3068]) ).
fof(f3098,plain,
( sF2 = sF4
| ~ spl23_132 ),
inference(forward_demodulation,[],[f3080,f72]) ).
fof(f3099,plain,
( $false
| spl23_95
| ~ spl23_132 ),
inference(forward_subsumption_resolution,[],[f3098,f1760]) ).
fof(f3100,plain,
( spl23_95
| ~ spl23_132 ),
inference(avatar_contradiction_clause,[],[f3099]) ).
fof(f3598,plain,
subq(sF2,sF3),
inference(superposition,[],[f2182,f70]) ).
fof(f3608,plain,
( $false
| spl23_121 ),
inference(forward_subsumption_resolution,[],[f3598,f2120]) ).
fof(f3609,plain,
spl23_121,
inference(avatar_contradiction_clause,[],[f3608]) ).
fof(f3613,plain,
( ! [X0] :
( ~ mem(X0,sF3)
| e = X0 )
| ~ spl23_122 ),
inference(superposition,[],[f159,f2124]) ).
fof(f3686,definition,
( spl23_168
<=> sF4 = sF9 ),
introduced(definition,[new_symbols(definition,[spl23_168])],[avatar_definition]) ).
fof(f3687,plain,
( sF4 != sF9
| spl23_168 ),
inference(avatar_component_clause,[],[f3686]) ).
fof(f3688,plain,
( sF4 = sF9
| ~ spl23_168 ),
inference(avatar_component_clause,[],[f3686]) ).
fof(f4292,plain,
( mem(sF3,sF3)
| ~ spl23_28 ),
inference(resolution,[],[f873,f387]) ).
fof(f4299,plain,
( e = sF3
| ~ spl23_28
| ~ spl23_122 ),
inference(resolution,[],[f4292,f3613]) ).
fof(f4301,plain,
( $false
| ~ spl23_28
| ~ spl23_122
| spl23_132 ),
inference(forward_subsumption_resolution,[],[f4299,f3067]) ).
fof(f4302,plain,
( ~ spl23_28
| ~ spl23_122
| spl23_132 ),
inference(avatar_contradiction_clause,[],[f4301]) ).
fof(f4317,plain,
( sF3 = sK0(sF4,sF3)
| spl23_28 ),
inference(resolution,[],[f874,f324]) ).
fof(f4337,definition,
( spl23_212
<=> mem(sF4,sF4) ),
introduced(definition,[new_symbols(definition,[spl23_212])],[avatar_definition]) ).
fof(f4338,plain,
( mem(sF4,sF4)
| ~ spl23_212 ),
inference(avatar_component_clause,[],[f4337]) ).
fof(f4339,plain,
( ~ mem(sF4,sF4)
| spl23_212 ),
inference(avatar_component_clause,[],[f4337]) ).
fof(f4428,plain,
( ~ mem(sF3,sF3)
| subq(sF4,sF3)
| spl23_28 ),
inference(superposition,[],[f46,f4317]) ).
fof(f4429,plain,
( ~ mem(sF3,sF3)
| spl23_28 ),
inference(forward_subsumption_resolution,[],[f4428,f874]) ).
fof(f4499,definition,
( spl23_218
<=> mem(sF3,sF5) ),
introduced(definition,[new_symbols(definition,[spl23_218])],[avatar_definition]) ).
fof(f4500,plain,
( ~ mem(sF3,sF5)
| spl23_218 ),
inference(avatar_component_clause,[],[f4499]) ).
fof(f4501,plain,
( mem(sF3,sF5)
| ~ spl23_218 ),
inference(avatar_component_clause,[],[f4499]) ).
fof(f4503,definition,
( spl23_219
<=> mem(sF3,sF10) ),
introduced(definition,[new_symbols(definition,[spl23_219])],[avatar_definition]) ).
fof(f4504,plain,
( ~ mem(sF3,sF10)
| spl23_219 ),
inference(avatar_component_clause,[],[f4503]) ).
fof(f4505,plain,
( mem(sF3,sF10)
| ~ spl23_219 ),
inference(avatar_component_clause,[],[f4503]) ).
fof(f4562,definition,
( spl23_231
<=> sF3 = sF9 ),
introduced(definition,[new_symbols(definition,[spl23_231])],[avatar_definition]) ).
fof(f4563,plain,
( sF3 != sF9
| spl23_231 ),
inference(avatar_component_clause,[],[f4562]) ).
fof(f4564,plain,
( sF3 = sF9
| ~ spl23_231 ),
inference(avatar_component_clause,[],[f4562]) ).
fof(f4608,plain,
( sF3 = sF4
| ~ spl23_218 ),
inference(resolution,[],[f4501,f161]) ).
fof(f4611,plain,
( $false
| spl23_29
| ~ spl23_218 ),
inference(forward_subsumption_resolution,[],[f4608,f877]) ).
fof(f4612,plain,
( spl23_29
| ~ spl23_218 ),
inference(avatar_contradiction_clause,[],[f4611]) ).
fof(f4613,plain,
( sF3 = sF9
| ~ spl23_219 ),
inference(resolution,[],[f4505,f163]) ).
fof(f4621,plain,
( mem(sF3,sF3)
| ~ spl23_231 ),
inference(superposition,[],[f185,f4564]) ).
fof(f4644,plain,
( $false
| spl23_28
| ~ spl23_231 ),
inference(forward_subsumption_resolution,[],[f4621,f4429]) ).
fof(f4645,plain,
( spl23_28
| ~ spl23_231 ),
inference(avatar_contradiction_clause,[],[f4644]) ).
fof(f4648,plain,
( $false
| ~ spl23_219
| spl23_231 ),
inference(forward_subsumption_resolution,[],[f4613,f4563]) ).
fof(f4649,plain,
( ~ spl23_219
| spl23_231 ),
inference(avatar_contradiction_clause,[],[f4648]) ).
fof(f4894,plain,
( mem(sF4,sF11)
| ~ spl23_21 ),
inference(resolution,[],[f1641,f1003]) ).
fof(f4898,plain,
( mem(sF4,sF10)
| mem(sF4,sF9)
| ~ spl23_21 ),
inference(resolution,[],[f4894,f211]) ).
fof(f4904,definition,
( spl23_249
<=> mem(sF4,sF9) ),
introduced(definition,[new_symbols(definition,[spl23_249])],[avatar_definition]) ).
fof(f4905,plain,
( ~ mem(sF4,sF9)
| spl23_249 ),
inference(avatar_component_clause,[],[f4904]) ).
fof(f4906,plain,
( mem(sF4,sF9)
| ~ spl23_249 ),
inference(avatar_component_clause,[],[f4904]) ).
fof(f4908,definition,
( spl23_250
<=> mem(sF4,sF10) ),
introduced(definition,[new_symbols(definition,[spl23_250])],[avatar_definition]) ).
fof(f4909,plain,
( ~ mem(sF4,sF10)
| spl23_250 ),
inference(avatar_component_clause,[],[f4908]) ).
fof(f4910,plain,
( mem(sF4,sF10)
| ~ spl23_250 ),
inference(avatar_component_clause,[],[f4908]) ).
fof(f4911,plain,
( spl23_249
| spl23_250
| ~ spl23_21 ),
inference(avatar_split_clause,[],[f4898,f623,f4908,f4904]) ).
fof(f4912,plain,
( sF4 = sF9
| ~ spl23_250 ),
inference(resolution,[],[f4910,f163]) ).
fof(f4916,plain,
( $false
| spl23_168
| ~ spl23_250 ),
inference(forward_subsumption_resolution,[],[f4912,f3687]) ).
fof(f4917,plain,
( spl23_168
| ~ spl23_250 ),
inference(avatar_contradiction_clause,[],[f4916]) ).
fof(f4919,plain,
( mem(sF4,sF4)
| mem(sF4,sF3)
| ~ spl23_249 ),
inference(resolution,[],[f4906,f205]) ).
fof(f4921,plain,
( mem(sF4,sF3)
| spl23_212
| ~ spl23_249 ),
inference(forward_subsumption_resolution,[],[f4919,f4339]) ).
fof(f4926,plain,
( e = sF4
| ~ spl23_122
| spl23_212
| ~ spl23_249 ),
inference(resolution,[],[f4921,f3613]) ).
fof(f4928,plain,
( $false
| spl23_118
| ~ spl23_122
| spl23_212
| ~ spl23_249 ),
inference(forward_subsumption_resolution,[],[f4926,f1983]) ).
fof(f4929,plain,
( spl23_118
| ~ spl23_122
| spl23_212
| ~ spl23_249 ),
inference(avatar_contradiction_clause,[],[f4928]) ).
fof(f4944,plain,
( mem(e,sF4)
| ~ spl23_168 ),
inference(superposition,[],[f195,f3688]) ).
fof(f4965,plain,
( $false
| spl23_114
| ~ spl23_168 ),
inference(forward_subsumption_resolution,[],[f4944,f1965]) ).
fof(f4966,plain,
( spl23_114
| ~ spl23_168 ),
inference(avatar_contradiction_clause,[],[f4965]) ).
fof(f4973,plain,
( sF3 = sF4
| ~ spl23_212 ),
inference(resolution,[],[f4338,f160]) ).
fof(f4977,plain,
( $false
| spl23_29
| ~ spl23_212 ),
inference(forward_subsumption_resolution,[],[f4973,f877]) ).
fof(f4978,plain,
( spl23_29
| ~ spl23_212 ),
inference(avatar_contradiction_clause,[],[f4977]) ).
fof(f4988,definition,
( spl23_251
<=> mem(sF4,sF11) ),
introduced(definition,[new_symbols(definition,[spl23_251])],[avatar_definition]) ).
fof(f4989,plain,
( ~ mem(sF4,sF11)
| spl23_251 ),
inference(avatar_component_clause,[],[f4988]) ).
fof(f4990,plain,
( mem(sF4,sF11)
| ~ spl23_251 ),
inference(avatar_component_clause,[],[f4988]) ).
fof(f5069,plain,
( sF7 = sF17
| ~ spl23_18 ),
inference(resolution,[],[f611,f162]) ).
fof(f5072,plain,
( $false
| spl23_8
| ~ spl23_18 ),
inference(forward_subsumption_resolution,[],[f5069,f550]) ).
fof(f5073,plain,
( spl23_8
| ~ spl23_18 ),
inference(avatar_contradiction_clause,[],[f5072]) ).
fof(f5078,plain,
( e = sF7
| ~ spl23_14
| ~ spl23_122 ),
inference(resolution,[],[f579,f3613]) ).
fof(f5110,plain,
( ! [X0] : ~ mem(X0,sF7)
| ~ spl23_113 ),
inference(superposition,[],[f50,f1961]) ).
fof(f5360,plain,
( $false
| ~ spl23_113 ),
inference(resolution,[],[f5110,f328]) ).
fof(f5380,plain,
~ spl23_113,
inference(avatar_contradiction_clause,[],[f5360]) ).
fof(f5385,plain,
( $false
| ~ spl23_14
| spl23_113
| ~ spl23_122 ),
inference(forward_subsumption_resolution,[],[f5078,f1960]) ).
fof(f5386,plain,
( ~ spl23_14
| spl23_113
| ~ spl23_122 ),
inference(avatar_contradiction_clause,[],[f5385]) ).
fof(f5425,plain,
( subq(sF20,sF11)
| mem(sF20,sF8)
| disj(sF16,sF22)
| ~ spl23_7 ),
inference(superposition,[],[f431,f520]) ).
fof(f5437,plain,
( ~ mem(sF20,sF8)
| spl23_5
| ~ spl23_7 ),
inference(superposition,[],[f511,f520]) ).
fof(f5438,plain,
( $false
| spl23_5
| ~ spl23_7
| ~ spl23_22 ),
inference(forward_subsumption_resolution,[],[f5437,f640]) ).
fof(f5439,plain,
( spl23_5
| ~ spl23_7
| ~ spl23_22 ),
inference(avatar_contradiction_clause,[],[f5438]) ).
fof(f5442,plain,
( subq(sF20,sF11)
| disj(sF16,sF22)
| ~ spl23_7
| spl23_22 ),
inference(forward_subsumption_resolution,[],[f5425,f639]) ).
fof(f5443,plain,
( subq(sF20,sF11)
| ~ spl23_7
| spl23_22 ),
inference(forward_subsumption_resolution,[],[f5442,f109]) ).
fof(f5562,plain,
( mem(sF4,sF11)
| ~ spl23_7
| spl23_22 ),
inference(resolution,[],[f5443,f396]) ).
fof(f5599,plain,
( mem(sF4,sF10)
| mem(sF4,sF9)
| ~ spl23_251 ),
inference(resolution,[],[f4990,f211]) ).
fof(f5604,plain,
( mem(sF4,sF9)
| spl23_250
| ~ spl23_251 ),
inference(forward_subsumption_resolution,[],[f5599,f4909]) ).
fof(f5605,plain,
( $false
| spl23_249
| spl23_250
| ~ spl23_251 ),
inference(forward_subsumption_resolution,[],[f5604,f4905]) ).
fof(f5606,plain,
( spl23_249
| spl23_250
| ~ spl23_251 ),
inference(avatar_contradiction_clause,[],[f5605]) ).
fof(f5607,plain,
( $false
| ~ spl23_7
| spl23_22
| spl23_251 ),
inference(forward_subsumption_resolution,[],[f5562,f4989]) ).
fof(f5608,plain,
( ~ spl23_7
| spl23_22
| spl23_251 ),
inference(avatar_contradiction_clause,[],[f5607]) ).
fof(f5623,plain,
( ! [X0] :
( ~ mem(X0,sF7)
| mem(X0,sF10)
| mem(X0,sF5) )
| ~ spl23_9 ),
inference(superposition,[],[f209,f555]) ).
fof(f5862,plain,
( mem(sF3,sF10)
| mem(sF3,sF5)
| ~ spl23_9 ),
inference(resolution,[],[f5623,f342]) ).
fof(f5867,plain,
( mem(sF3,sF5)
| ~ spl23_9
| spl23_219 ),
inference(forward_subsumption_resolution,[],[f5862,f4504]) ).
fof(f5880,plain,
( $false
| ~ spl23_9
| spl23_218
| spl23_219 ),
inference(forward_subsumption_resolution,[],[f5867,f4500]) ).
fof(f5881,plain,
( ~ spl23_9
| spl23_218
| spl23_219 ),
inference(avatar_contradiction_clause,[],[f5880]) ).
cnf(s3,plain,
( spl23_5
| spl23_6
| spl23_7 ),
inference(sat_conversion,[],[f521]) ).
cnf(s10,plain,
( ~ spl23_5
| spl23_9
| spl23_16 ),
inference(sat_conversion,[],[f590]) ).
cnf(s14,plain,
( ~ spl23_6
| spl23_18
| spl23_21 ),
inference(sat_conversion,[],[f626]) ).
cnf(s32,plain,
~ spl23_8,
inference(sat_conversion,[],[f987]) ).
cnf(s34,plain,
( spl23_8
| ~ spl23_15 ),
inference(sat_conversion,[],[f1010]) ).
cnf(s35,plain,
( spl23_14
| spl23_15
| ~ spl23_16 ),
inference(sat_conversion,[],[f1012]) ).
cnf(s71,plain,
( ~ spl23_88
| ~ spl23_95 ),
inference(sat_conversion,[],[f1820]) ).
cnf(s73,plain,
( spl23_88
| ~ spl23_95 ),
inference(sat_conversion,[],[f1825]) ).
cnf(s94,plain,
( ~ spl23_121
| spl23_122 ),
inference(sat_conversion,[],[f2125]) ).
cnf(s103,plain,
( ~ spl23_29
| spl23_95 ),
inference(sat_conversion,[],[f2837]) ).
cnf(s109,plain,
( spl23_29
| ~ spl23_118 ),
inference(sat_conversion,[],[f2951]) ).
cnf(s113,plain,
( spl23_95
| ~ spl23_114 ),
inference(sat_conversion,[],[f2990]) ).
cnf(s121,plain,
( spl23_95
| ~ spl23_132 ),
inference(sat_conversion,[],[f3100]) ).
cnf(s145,plain,
spl23_121,
inference(sat_conversion,[],[f3609]) ).
cnf(s201,plain,
( ~ spl23_28
| ~ spl23_122
| spl23_132 ),
inference(sat_conversion,[],[f4302]) ).
cnf(s223,plain,
( spl23_29
| ~ spl23_218 ),
inference(sat_conversion,[],[f4612]) ).
cnf(s226,plain,
( spl23_28
| ~ spl23_231 ),
inference(sat_conversion,[],[f4645]) ).
cnf(s228,plain,
( ~ spl23_219
| spl23_231 ),
inference(sat_conversion,[],[f4649]) ).
cnf(s254,plain,
( ~ spl23_21
| spl23_249
| spl23_250 ),
inference(sat_conversion,[],[f4911]) ).
cnf(s255,plain,
( spl23_168
| ~ spl23_250 ),
inference(sat_conversion,[],[f4917]) ).
cnf(s256,plain,
( spl23_118
| ~ spl23_122
| spl23_212
| ~ spl23_249 ),
inference(sat_conversion,[],[f4929]) ).
cnf(s257,plain,
( spl23_114
| ~ spl23_168 ),
inference(sat_conversion,[],[f4966]) ).
cnf(s259,plain,
( spl23_29
| ~ spl23_212 ),
inference(sat_conversion,[],[f4978]) ).
cnf(s273,plain,
( spl23_8
| ~ spl23_18 ),
inference(sat_conversion,[],[f5073]) ).
cnf(s290,plain,
~ spl23_113,
inference(sat_conversion,[],[f5380]) ).
cnf(s291,plain,
( ~ spl23_14
| spl23_113
| ~ spl23_122 ),
inference(sat_conversion,[],[f5386]) ).
cnf(s299,plain,
( spl23_5
| ~ spl23_7
| ~ spl23_22 ),
inference(sat_conversion,[],[f5439]) ).
cnf(s310,plain,
( spl23_249
| spl23_250
| ~ spl23_251 ),
inference(sat_conversion,[],[f5606]) ).
cnf(s311,plain,
( ~ spl23_7
| spl23_22
| spl23_251 ),
inference(sat_conversion,[],[f5608]) ).
cnf(s323,plain,
( ~ spl23_9
| spl23_218
| spl23_219 ),
inference(sat_conversion,[],[f5881]) ).
cnf(s331,plain,
spl23_122,
inference(rat,[],[s94,s145]) ).
cnf(s332,plain,
~ spl23_14,
inference(rat,[],[s291,s290,s331]) ).
cnf(s343,plain,
( spl23_15
| ~ spl23_16 ),
inference(rat,[],[s35,s332]) ).
cnf(s344,plain,
~ spl23_18,
inference(rat,[],[s273,s32]) ).
cnf(s345,plain,
~ spl23_15,
inference(rat,[],[s34,s32]) ).
cnf(s346,plain,
~ spl23_16,
inference(rat,[],[s343,s345]) ).
cnf(s348,plain,
( ~ spl23_6
| spl23_21 ),
inference(rat,[],[s14,s344]) ).
cnf(s352,plain,
( ~ spl23_5
| spl23_9 ),
inference(rat,[],[s10,s346]) ).
cnf(s359,plain,
~ spl23_95,
inference(rat,[],[s71,s73]) ).
cnf(s360,plain,
~ spl23_132,
inference(rat,[],[s121,s359]) ).
cnf(s361,plain,
~ spl23_114,
inference(rat,[],[s113,s359]) ).
cnf(s362,plain,
~ spl23_29,
inference(rat,[],[s103,s359]) ).
cnf(s365,plain,
~ spl23_28,
inference(rat,[],[s201,s331,s360]) ).
cnf(s366,plain,
~ spl23_168,
inference(rat,[],[s257,s361]) ).
cnf(s368,plain,
~ spl23_212,
inference(rat,[],[s259,s362]) ).
cnf(s369,plain,
~ spl23_218,
inference(rat,[],[s223,s362]) ).
cnf(s372,plain,
~ spl23_118,
inference(rat,[],[s109,s362]) ).
cnf(s375,plain,
~ spl23_231,
inference(rat,[],[s226,s365]) ).
cnf(s376,plain,
~ spl23_250,
inference(rat,[],[s255,s366]) ).
cnf(s380,plain,
~ spl23_249,
inference(rat,[],[s256,s368,s331,s372]) ).
cnf(s386,plain,
~ spl23_219,
inference(rat,[],[s228,s375]) ).
cnf(s388,plain,
~ spl23_251,
inference(rat,[],[s310,s376,s380]) ).
cnf(s389,plain,
~ spl23_21,
inference(rat,[],[s254,s376,s380]) ).
cnf(s396,plain,
~ spl23_9,
inference(rat,[],[s323,s369,s386]) ).
cnf(s400,plain,
~ spl23_6,
inference(rat,[],[s348,s389]) ).
cnf(s402,plain,
~ spl23_5,
inference(rat,[],[s352,s396]) ).
cnf(s403,plain,
spl23_7,
inference(rat,[],[s3,s402,s400]) ).
cnf(s405,plain,
~ spl23_22,
inference(rat,[],[s299,s402,s403]) ).
cnf(s406,plain,
$false,
inference(rat,[],[s311,s388,s403,s405]) ).
fof(f5882,plain,
$false,
inference(avatar_sat_refutation,[],[s406]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV556+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.36 % Computer : n001.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 28 06:42:32 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.61/2.51 % (163328)Detected formulas, will run a generic FOF schedule.
% 6.61/2.51 % (163337)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=357426287:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.61/2.51 % (163339)dis-21_1_sil=8000:lcm=predicate:random_seed=3213153209:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 6.61/2.51 % (163334)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3883340851:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.61/2.51 % (163335)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1800267606:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.61/2.51 % (163336)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1258058164:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.61/2.51 % (163333)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2270477623:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.61/2.51 % (163338)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3041091153:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.61/2.51 % (163336)Refutation not found, incomplete strategy
% 6.61/2.51 % (163336)------------------------------
% 6.61/2.51 % (163336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163336)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163336)Termination reason: Refutation not found, incomplete strategy
% 6.61/2.51 % (163336)Time elapsed: 0.002 s
% 6.61/2.51 % (163336)Peak memory usage: 88 MB
% 6.61/2.51 % (163336)Instructions burned: 1 (million)
% 6.61/2.51 % (163337)Instruction limit reached!
% 6.61/2.51 % (163337)------------------------------
% 6.61/2.51 % (163337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163337)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163337)Termination reason: Instruction limit
% 6.61/2.51 % (163337)Termination phase: Saturation
% 6.61/2.51 % (163337)Time elapsed: 0.041 s
% 6.61/2.51 % (163337)Peak memory usage: 89 MB
% 6.61/2.51 % (163337)Instructions burned: 119 (million)
% 6.61/2.51 % (163339)Instruction limit reached!
% 6.61/2.51 % (163339)------------------------------
% 6.61/2.51 % (163339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163339)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163339)Termination reason: Instruction limit
% 6.61/2.51 % (163339)Termination phase: Saturation
% 6.61/2.51 % (163339)Time elapsed: 0.067 s
% 6.61/2.51 % (163339)Peak memory usage: 88 MB
% 6.61/2.51 % (163339)Instructions burned: 131 (million)
% 6.61/2.51 % (163338)Instruction limit reached!
% 6.61/2.51 % (163338)------------------------------
% 6.61/2.51 % (163338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163338)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163338)Termination reason: Instruction limit
% 6.61/2.51 % (163338)Termination phase: Saturation
% 6.61/2.51 % (163338)Time elapsed: 0.093 s
% 6.61/2.51 % (163338)Peak memory usage: 89 MB
% 6.61/2.51 % (163338)Instructions burned: 140 (million)
% 6.61/2.51 % (163347)lrs+10_1_sil=8000:sp=occurrence:random_seed=1315811087:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 6.61/2.51 % (163348)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3417421818:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.61/2.51 % (163347)Instruction limit reached!
% 6.61/2.51 % (163347)------------------------------
% 6.61/2.51 % (163347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163347)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163347)Termination reason: Instruction limit
% 6.61/2.51 % (163347)Termination phase: Saturation
% 6.61/2.51 % (163347)Time elapsed: 0.099 s
% 6.61/2.51 % (163347)Peak memory usage: 92 MB
% 6.61/2.51 % (163347)Instructions burned: 285 (million)
% 6.61/2.51 % (163336)------------------------------
% 6.61/2.51 % (163336)------------------------------
% 6.61/2.51 % (163349)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3414248223:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.61/2.51 % (163349)Refutation not found, incomplete strategy
% 6.61/2.51 % (163349)------------------------------
% 6.61/2.51 % (163349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163349)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163349)Termination reason: Refutation not found, incomplete strategy
% 6.61/2.51 % (163349)Time elapsed: 0.007 s
% 6.61/2.51 % (163349)Peak memory usage: 88 MB
% 6.61/2.51 % (163349)Instructions burned: 11 (million)
% 6.61/2.51 % (163348)Instruction limit reached!
% 6.61/2.51 % (163348)------------------------------
% 6.61/2.51 % (163348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163348)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163348)Termination reason: Instruction limit
% 6.61/2.51 % (163348)Termination phase: Saturation
% 6.61/2.51 % (163348)Time elapsed: 0.084 s
% 6.61/2.51 % (163348)Peak memory usage: 90 MB
% 6.61/2.51 % (163348)Instructions burned: 158 (million)
% 6.61/2.51 % (163352)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=410666550:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.61/2.51 % (163354)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2220611650:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.61/2.51 % (163354)Refutation not found, incomplete strategy
% 6.61/2.51 % (163354)------------------------------
% 6.61/2.51 % (163354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163354)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163354)Termination reason: Refutation not found, incomplete strategy
% 6.61/2.51 % (163354)Time elapsed: 0.002 s
% 6.61/2.51 % (163354)Peak memory usage: 88 MB
% 6.61/2.51 % (163354)Instructions burned: 1 (million)
% 6.61/2.51 % (163352)Instruction limit reached!
% 6.61/2.51 % (163352)------------------------------
% 6.61/2.51 % (163352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163352)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163352)Termination reason: Instruction limit
% 6.61/2.51 % (163352)Termination phase: Saturation
% 6.61/2.51 % (163352)Time elapsed: 0.078 s
% 6.61/2.51 % (163352)Peak memory usage: 91 MB
% 6.61/2.51 % (163352)Instructions burned: 252 (million)
% 6.61/2.51 % (163355)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3905529901:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 6.61/2.51 % (163349)------------------------------
% 6.61/2.51 % (163349)------------------------------
% 6.61/2.51 % (163358)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3023146271:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.61/2.51 % (163358)Instruction limit reached!
% 6.61/2.51 % (163358)------------------------------
% 6.61/2.51 % (163358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163358)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163358)Termination reason: Instruction limit
% 6.61/2.51 % (163358)Termination phase: Saturation
% 6.61/2.51 % (163358)Time elapsed: 0.034 s
% 6.61/2.51 % (163358)Peak memory usage: 89 MB
% 6.61/2.51 % (163358)Instructions burned: 113 (million)
% 6.61/2.51 % (163354)------------------------------
% 6.61/2.51 % (163354)------------------------------
% 6.61/2.51 % (163360)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=4264457771:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.61/2.51 % (163362)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2308670963:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.61/2.51 % (163360)Instruction limit reached!
% 6.61/2.51 % (163360)------------------------------
% 6.61/2.51 % (163360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163360)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163360)Termination reason: Instruction limit
% 6.61/2.51 % (163360)Termination phase: Saturation
% 6.61/2.51 % (163360)Time elapsed: 0.059 s
% 6.61/2.51 % (163360)Peak memory usage: 88 MB
% 6.61/2.51 % (163360)Instructions burned: 127 (million)
% 6.61/2.51 % (163362)Instruction limit reached!
% 6.61/2.51 % (163362)------------------------------
% 6.61/2.51 % (163362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163362)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163362)Termination reason: Instruction limit
% 6.61/2.51 % (163362)Termination phase: Saturation
% 6.61/2.51 % (163362)Time elapsed: 0.028 s
% 6.61/2.51 % (163362)Peak memory usage: 88 MB
% 6.61/2.51 % (163362)Instructions burned: 116 (million)
% 6.61/2.51 % (163364)lrs+10_1_sil=8000:sp=occurrence:random_seed=793932801:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.61/2.51 % (163366)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=555575775:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 6.61/2.51 % (163367)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2550454117:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 6.61/2.51 % (163366)Refutation not found, incomplete strategy
% 6.61/2.51 % (163366)------------------------------
% 6.61/2.51 % (163366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163366)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163366)Termination reason: Refutation not found, incomplete strategy
% 6.61/2.51 % (163366)Time elapsed: 0.002 s
% 6.61/2.51 % (163366)Peak memory usage: 88 MB
% 6.61/2.51 % (163366)Instructions burned: 1 (million)
% 6.61/2.51 % (163366)------------------------------
% 6.61/2.51 % (163366)------------------------------
% 6.61/2.51 % (163333)First to succeed.
% 6.61/2.51 % (163333)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-163328"
% 6.61/2.51 % (163371)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3211079384:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2987 on theBenchmark for (2987ds/134Mi)
% 6.61/2.51 % (163371)Instruction limit reached!
% 6.61/2.51 % (163371)------------------------------
% 6.61/2.51 % (163371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163371)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163371)Termination reason: Instruction limit
% 6.61/2.51 % (163371)Termination phase: Saturation
% 6.61/2.51 % (163371)Time elapsed: 0.038 s
% 6.61/2.51 % (163371)Peak memory usage: 90 MB
% 6.61/2.51 % (163371)Instructions burned: 136 (million)
% 6.61/2.51 % (163373)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=259592006:st=8:i=592:sd=3:ep=RST:ss=axioms_2985 on theBenchmark for (2985ds/592Mi)
% 6.61/2.51 % (163364)Instruction limit reached!
% 6.61/2.51 % (163364)------------------------------
% 6.61/2.51 % (163364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163364)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163364)Termination reason: Instruction limit
% 6.61/2.51 % (163364)Termination phase: Saturation
% 6.61/2.51 % (163364)Time elapsed: 0.566 s
% 6.61/2.51 % (163364)Peak memory usage: 97 MB
% 6.61/2.51 % (163364)Instructions burned: 908 (million)
% 6.61/2.51 % (163373)Refutation not found, incomplete strategy
% 6.61/2.51 % (163373)------------------------------
% 6.61/2.51 % (163373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/2.51 % (163373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/2.51 % (163373)CaDiCaL version: 2.1.3
% 6.61/2.51 % (163373)Termination reason: Refutation not found, incomplete strategy
% 6.61/2.51 % (163373)Time elapsed: 0.001 s
% 6.61/2.51 % (163373)Peak memory usage: 88 MB
% 6.61/2.51 % (163373)Instructions burned: 1 (million)
% 6.61/2.51 % (163333)Refutation found. Thanks to Tanya!
% 6.61/2.51 % SZS status Theorem for theBenchmark
% 6.61/2.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/2.71 % (163333)------------------------------
% 0.15/2.71 % (163333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/2.71 % (163333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/2.71 % (163333)CaDiCaL version: 2.1.3
% 0.15/2.71 % (163333)Termination reason: Refutation
% 0.15/2.71 % (163333)Time elapsed: 1.207 s
% 0.15/2.71 % (163333)Peak memory usage: 134 MB
% 0.15/2.71 % (163333)Instructions burned: 1716 (million)
% 0.15/2.71 % (163333)------------------------------
% 0.15/2.71 % (163333)------------------------------
% 0.15/2.71 % (163328)Success in time 1.653 s
% 0.15/2.71 % Vampire exiting
%------------------------------------------------------------------------------